Finite Group Databasebeta

← Group #13170800

Character table — Group #13170800

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222224444444444444444446666666666668888888888888899999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242436363636363654545454
order122233344666666666333666666666121212121212222222224444366612121212121212121212222244444444666666666666666612121212121212124444446666121212121212121266666666121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111
χ1711-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-11-11-11-11-1i−ii−i1-1-11111-1-1-111-1-111-1-1ii−i−iii−i−i1-11-11-11-11-11-11-11-1ii−i−iii−i−i1-1i−ii−i11-1-1ii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i1-1i−ii−i
χ1811-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-11-11-11-11-1−ii−ii1-1-11111-1-1-111-1-111-1-1−i−iii−i−iii1-11-11-11-11-11-11-11-1−i−iii−i−iii1-1−ii−ii11-1-1−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii1-1−ii−ii
χ1911-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-11-11-1-11-11i−ii−i1-1-11111-1-1-111-1-1-1-111ii−i−i−i−iii1-11-1-11-111-11-1-11-11ii−i−iii−i−i-11i−i−ii-1-111ii−i−i−i−iii1-11-1-11-11i−ii−ii−i−ii-11−ii−ii
χ2011-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-11-11-1-11-11−ii−ii1-1-11111-1-1-111-1-1-1-111−i−iiiii−i−i1-11-1-11-111-11-1-11-11−i−iii−i−iii-11−iii−i-1-111−i−iiiii−i−i1-11-1-11-11−ii−ii−iii−i-11i−ii−i
χ2111-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-1-11-111-11-1i−ii−i1-1-11111-1-1-111-1-1-1-111−i−iiiii−i−i-11-111-11-1-11-111-11-1ii−i−iii−i−i-11−iii−i-1-111−i−iiiii−i−i-11-111-11-1i−ii−i−iii−i-11−ii−ii
χ2211-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-1-11-111-11-1−ii−ii1-1-11111-1-1-111-1-1-1-111ii−i−i−i−iii-11-111-11-1-11-111-11-1−i−iii−i−iii-11i−i−ii-1-111ii−i−i−i−iii-11-111-11-1−ii−iii−i−ii-11i−ii−i
χ2311-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-1-11-11-11-11i−ii−i1-1-11111-1-1-111-1-111-1-1−i−iii−i−iii-11-11-11-11-11-11-11-11ii−i−iii−i−i1-1−ii−ii11-1-1−i−iii−i−iii-11-11-11-11i−ii−i−ii−ii1-1i−ii−i
χ2411-1-11111-1-1-111-1-11-1-1111-1-1-1-1-1111-111-1-11-1-11-11-11-11−ii−ii1-1-11111-1-1-111-1-111-1-1ii−i−iii−i−i-11-11-11-11-11-11-11-11−i−iii−i−iii1-1i−ii−i11-1-1ii−i−iii−i−i-11-11-11-11−ii−iii−ii−i1-1−ii−ii
χ2511-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-111-1-111-1-11i−i−ii1-1-11-1-1-1111-1-11111-1-1ii−i−iii−i−i1-1-111-1-111-1-111-1-11ii−i−i−i−iii-11−ii−ii11-1-1ii−i−iii−i−i1-1-111-1-11i−i−ii−ii−ii-11i−i−ii
χ2611-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-111-1-111-1-11−iii−i1-1-11-1-1-1111-1-11111-1-1−i−iii−i−iii1-1-111-1-111-1-111-1-11−i−iiiii−i−i-11i−ii−i11-1-1−i−iii−i−iii1-1-111-1-11−iii−ii−ii−i-11−iii−i
χ2711-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-111-1-11-111-1i−i−ii1-1-11-1-1-1111-1-111-1-111ii−i−i−i−iii1-1-11-111-11-1-11-111-1ii−i−i−i−iii1-1−iii−i-1-111ii−i−i−i−iii1-1-11-111-1i−i−ii−iii−i1-1−iii−i
χ2811-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-111-1-11-111-1−iii−i1-1-11-1-1-1111-1-111-1-111−i−iiiii−i−i1-1-11-111-11-1-11-111-1−i−iiiii−i−i1-1i−i−ii-1-111−i−iiiii−i−i1-1-11-111-1−iii−ii−i−ii1-1i−i−ii
χ2911-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-11-111-11-1-11i−i−ii1-1-11-1-1-1111-1-111-1-111−i−iiiii−i−i-111-11-1-11-111-11-1-11ii−i−i−i−iii1-1i−i−ii-1-111−i−iiiii−i−i-111-11-1-11i−i−iii−i−ii1-1−iii−i
χ3011-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-11-111-11-1-11−iii−i1-1-11-1-1-1111-1-111-1-111ii−i−i−i−iii-111-11-1-11-111-11-1-11−i−iiiii−i−i1-1−iii−i-1-111ii−i−i−i−iii-111-11-1-11−iii−i−iii−i1-1i−i−ii
χ3111-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-11-111-1-111-1i−i−ii1-1-11-1-1-1111-1-11111-1-1−i−iii−i−iii-111-1-111-1-111-1-111-1ii−i−i−i−iii-11i−ii−i11-1-1−i−iii−i−iii-111-1-111-1i−i−iii−ii−i-11i−i−ii
χ3211-1-1111-11-1-111-1-11-1-1111-1-1-1-1-1111-1-1-111-11-111-1-111-1−iii−i1-1-11-1-1-1111-1-11111-1-1ii−i−iii−i−i-111-1-111-1-111-1-111-1−i−iiiii−i−i-11−ii−ii11-1-1ii−i−iii−i−i-111-1-111-1−iii−i−ii−ii-11−iii−i
χ33222222-122-1-12222-1222-1-12-1-1-1-12-1-122222-1-1222222220000-1-1-1-12-1-12-1-1-1-1-1-122220000000022222222-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000-1-1-1-1-1-1-1-100000000-1-10000
χ34222222-122-1-12222-1222-1-12-1-1-1-12-1-122222-1-12222-2-2-2-20000-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-2000000002222-2-2-2-2-1-1-1-1111100000000-2-20000111100000000-1-1-1-1111100000000110000
χ35222222-122-1-12222-1222-1-12-1-1-1-12-1-122222-1-1-2-2-2-222220000-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-200000000-2-2-2-222221111-1-1-1-100000000-2-200001111000000001111-1-1-1-100000000110000
χ36222222-122-1-12222-1222-1-12-1-1-1-12-1-122222-1-1-2-2-2-2-2-2-2-20000-1-1-1-12-1-12-1-1-1-1-1-1222200000000-2-2-2-2-2-2-2-21111111100000000220000-1-1-1-1000000001111111100000000-1-10000
χ37222222-1-2-2-1-12222-1222-1-12-1-1-1-12-1-12-2-2-2-21122-2-222-2-20000-1-1-1-1-211-211111122220000000022-2-222-2-2-1-111-1-11100000000-2-20000-1-1-1-100000000-1-111-1-11100000000110000
χ38222222-1-2-2-1-12222-1222-1-12-1-1-1-12-1-12-2-2-2-21122-2-2-2-2220000-1-1-1-1-211-2111111-2-2-2-20000000022-2-2-2-222-1-11111-1-100000000220000111100000000-1-11111-1-100000000-1-10000
χ39222222-1-2-2-1-12222-1222-1-12-1-1-1-12-1-12-2-2-2-211-2-22222-2-20000-1-1-1-1-211-2111111-2-2-2-200000000-2-22222-2-211-1-1-1-1110000000022000011110000000011-1-1-1-11100000000-1-10000
χ40222222-1-2-2-1-12222-1222-1-12-1-1-1-12-1-12-2-2-2-211-2-222-2-2220000-1-1-1-1-211-2111111222200000000-2-222-2-22211-1-111-1-100000000-2-20000-1-1-1-10000000011-1-111-1-100000000110000
χ4122222-1222222-12-122-1-12-1-122-1-1-12-1-12-12-122000022222222-1-1-1-1-12-1-12-1-1-1-1-10000000022220000-1-1-1-1000022222-12-12-12-100002200000000-1-1-1-10000-1-1-1-1-1-1-1-100-1-1000000
χ4222222-1222222-12-122-1-12-1-122-1-1-12-1-12-12-12200002222-2-2-2-2-1-1-1-1-12-1-12-1-1-1-1-100000000-2-2-2-20000-1-1-1-100002222-21-21-21-210000-2-20000000011110000-1-1-1-111110011000000
χ4322222-1222222-12-122-1-12-1-122-1-1-12-1-12-12-1220000-2-2-2-22222-1-1-1-1-12-1-12-1-1-1-1-100000000-2-2-2-2000011110000-2-2-2-22-12-12-12-10000-2-200000000111100001111-1-1-1-10011000000
χ4422222-1222222-12-122-1-12-1-122-1-1-12-1-12-12-1220000-2-2-2-2-2-2-2-2-1-1-1-1-12-1-12-1-1-1-1-1000000002222000011110000-2-2-2-2-21-21-21-2100002200000000-1-1-1-100001111111100-1-1000000
χ4522222-12-2-2222-12-122-1-12-1-122-1-1-12-1-1-21-21-2-2000022-2-222-2-2-1-1-1-11-211-2111110000000022220000-1-111000022-2-22-12-1-21-210000-2-200000000-1-1-1-10000-1-111-1-1110011000000
χ4622222-12-2-2222-12-122-1-12-1-122-1-1-12-1-1-21-21-2-2000022-2-2-2-222-1-1-1-11-211-21111100000000-2-2-2-20000-1-111000022-2-2-21-212-12-10000220000000011110000-1-11111-1-100-1-1000000
χ4722222-12-2-2222-12-122-1-12-1-122-1-1-12-1-1-21-21-2-20000-2-22222-2-2-1-1-1-11-211-21111100000000-2-2-2-2000011-1-10000-2-2222-12-1-21-21000022000000001111000011-1-1-1-11100-1-1000000
χ4822222-12-2-2222-12-122-1-12-1-122-1-1-12-1-1-21-21-2-20000-2-222-2-222-1-1-1-11-211-211111000000002222000011-1-10000-2-222-21-212-12-10000-2-200000000-1-1-1-1000011-1-111-1-10011000000
χ492222-1222222-12-122-12-1-12-1-1-122-1-12-1-12-1222222200002222-1-1-1-1-1-12-1-12-1-1-1-1000022220000-1-1-1-1000022220000-12-12-12-120022000000-1-1-1-10000-1-1-1-10000-1-1-1-1-1-100000000
χ502222-1222222-12-122-12-1-12-1-1-122-1-12-1-12-122222220000-2-2-2-2-1-1-1-1-1-12-1-12-1-1-1-10000-2-2-2-20000-1-1-1-10000222200001-21-21-21-200-2-200000011110000-1-1-1-1000011111100000000
χ512222-1222222-12-122-12-1-12-1-1-122-1-12-1-12-1222-2-2-2-200002222-1-1-1-1-1-12-1-12-1-1-1-10000-2-2-2-2000011110000-2-2-2-20000-12-12-12-1200-2-20000001111000011110000-1-1-1-11100000000
χ522222-1222222-12-122-12-1-12-1-1-122-1-12-1-12-1222-2-2-2-20000-2-2-2-2-1-1-1-1-1-12-1-12-1-1-1-100002222000011110000-2-2-2-200001-21-21-21-20022000000-1-1-1-10000111100001111-1-100000000
χ532222-122-2-222-12-122-12-1-12-1-1-122-1-12-11-21-2-2-222-2-2000022-2-2-1-1-1-111-211-21111000022220000-1-111000022-2-20000-12-121-21-200-2-2000000-1-1-1-10000-1-1110000-1-1111100000000
χ542222-122-2-222-12-122-12-1-12-1-1-122-1-12-11-21-2-2-222-2-20000-2-222-1-1-1-111-211-211110000-2-2-2-20000-1-111000022-2-200001-21-2-12-12002200000011110000-1-111000011-1-1-1-100000000
χ552222-122-2-222-12-122-12-1-12-1-1-122-1-12-11-21-2-2-2-2-222000022-2-2-1-1-1-111-211-211110000-2-2-2-2000011-1-10000-2-2220000-12-121-21-200220000001111000011-1-10000-1-111-1-100000000
χ562222-122-2-222-12-122-12-1-12-1-1-122-1-12-11-21-2-2-2-2-2220000-2-222-1-1-1-111-211-2111100002222000011-1-10000-2-22200001-21-2-12-1200-2-2000000-1-1-1-1000011-1-1000011-1-11100000000
χ5722-2-222-12-21122-2-2-1-2-22-1-1-211112-1-1-222-2-2-112-22-22-22-20000-111-12-1-1-211-1-11122-2-2000000002-22-22-22-2-11-11-11-11000000002-20000-1-11100000000-11-11-11-1100000000-110000
χ5822-2-222-12-21122-2-2-1-2-22-1-1-211112-1-1-222-2-2-112-22-2-22-220000-111-12-1-1-211-1-111-2-222000000002-22-2-22-22-11-111-11-100000000-22000011-1-100000000-11-111-11-1000000001-10000
χ5922-2-222-12-21122-2-2-1-2-22-1-1-211112-1-1-222-2-2-11-22-222-22-20000-111-12-1-1-211-1-111-2-22200000000-22-222-22-21-11-1-11-1100000000-22000011-1-1000000001-11-1-11-11000000001-10000
χ6022-2-222-12-21122-2-2-1-2-22-1-1-211112-1-1-222-2-2-11-22-22-22-220000-111-12-1-1-211-1-11122-2-200000000-22-22-22-221-11-11-11-1000000002-20000-1-111000000001-11-11-11-100000000-110000
χ6122-2-222-1-221122-2-2-1-2-22-1-1-211112-1-1-2-2-2221-12-2-222-2-220000-111-1-2112-1-111-1-122-2-2000000002-2-222-2-22-111-1-111-100000000-220000-1-11100000000-111-1-111-1000000001-10000
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Here i is the imaginary unit (i² = −1).